Question

5. Match each equation with the corresponding equation solved for a *

Answer 1

Step-by-step explanation

to solve an equation is to find its solutions, which are the values that fulfill the condition stated by the equation

so

Step 1

a)

`\begin{gathered} a+2b=5 \\ \text{subtract 2b in both sides} \\ a+2b-2b=5-2b \\ a=5-2b \end{gathered}`

so

b)

`\begin{gathered} 5a=2b \\ \text{divide both sides by 5} \\ (5a)/(5)=(2b)/(5) \\ a=(2b)/(5) \\ \text{hence} \\ 5a=2b\leftrightarrow a=(2b)/(5) \end{gathered}`

c)

`\begin{gathered} a+5=2b \\ \text{subtract 5 in both sides} \\ a+5-5=2b-5 \\ a=2b-5 \\ so \\ a+5=2b\leftrightarrow a=2b-5 \end{gathered}`

d)

`\begin{gathered} 5(a+2b)=0 \\ divide\text{ both sides by 5} \\ (5(a+2b))/(5)=(0)/(5) \\ a+2b=0 \\ \text{subtract 2b in both sides} \\ a+2b-2b=0-2b \\ a=-2b \\ so \\ 5\mleft(a+2b\mright)=0\leftrightarrow a=-2b \end{gathered}`

e) finally